Last year I led a campaign to obtain an apology for the mistreatment of the British mathematician Alan Turing. Turing's prosecution for homosexuality led to the death of a true genius at the age of only 41 in 1954. On 10 September last year, Gordon Brown issued an apology that recognised Turing's stature as one of the greatest Britons. But Britain has a final opportunity to unapologetically recognise Alan Turing in two years' time, at the 2012 Olympics.

It's now well known that Turing laid down the foundations of computer science in the 1930s, helped shorten the second world war by breaking Nazi codes at Bletchley Park and investigated artificial intelligence. He went on to design early computers during the late 1940s and just before he died he was untangling the process of morphogenesis to understand why and how living beings take the shape they do. Only today are scientists appreciating the work he did in his last years, and every computer user can be thankful for his theoretical Turing machine, which captured the essence of the machines we all use.

What is less known is that Turing was also an accomplished physical athlete. He was an excellent marathon runner, with a best time of 2 hours 46 minutes. He ran for a local club in Walton, Surrey while working at the National Physical Laboratory in Teddington. He is also said to have run between London and Bletchley Park for meetings during the second world war, and at age 14 he cycled 60 miles from Southampton to school at Sherborne during the general strike of 1926.

The last time Britain hosted the Olympics, in 1948, Turing tried out for the British Olympic marathon team. He came fifth in the trials. He ended up attending the games as a spectator taking along two of his young nieces as guests. That year Britain took a silver in the marathon when Thomas Richards ran for 2 hours 35 minutes. Alan Turing was only 11 minutes slower.

2012 has great significance: it's the centenary of his birth on 23 June. To celebrate "Alan Turing Year", mathematicians and scientists across Britain and around the world are arranging events throughout the year. Celebrations of Turing's work will be held in Manchester (where he was living and working when he died) and at Bletchley Park. There's even a suggestion that Unesco should designate 2012 the year of computer science.

Turing's life also deserves celebration far from the places he's most associated with. As Britons, we live in a world Turing helped create: computers have permeated our lives and his work at Bletchley Park with thousands of others helped bring the war with Nazi Germany to an end. As London shows off what's great about Britain through the Olympic games, let's show off a great Briton of whom we should be proud. What better way to honour Turing than by naming the 2012 marathon the "Turing marathon" and inviting his surviving nieces to witness the event? One of them could even be invited to fire the starting pistol that will set the runners off. Those little girls are elderly now, but their memories of Uncle Alan are bright. Inviting them would be a fitting tribute.

Of course, detractors may be concerned about sullying the games by associating an individual with an event. But such concerns didn't stop Greece in 2004 from naming their entire Olympic stadium after Spiridon Louis (who won the marathon event in 1896). Honouring the life of a man would be a welcome antidote to the heavy commercialisation surrounding the games.

Others may worry about raking over the embers of the dark days of anti-homosexuality laws. But there's little need to be concerned: celebrating Turing doesn't mean focusing on just that one aspect of his life; it means recognising a mental and physical athlete, a mathematician and marathon runner, and a man to whom we owe so much. It's rare that events coincide to give us one moment in time when a man like Turing can be celebrated in all his complexity. Let's not miss the chance in 2012.

• This article was commissioned after the author contacted us via a You Tell Us thread